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Mathematics
Mathematics
Problem
d
d
x
[
sin
n
x
cos
n
x
]
=
\frac{d}{dx} [\sin^n x \cos nx] =
d
x
d
[
sin
n
x
cos
n
x
]
=
a.
n
sin
n
−
1
x
cos
(
n
+
1
)
x
n \sin^{n-1} x \cos(n+1)x
n
sin
n
−
1
x
cos
(
n
+
1
)
x
b.
n
sin
n
−
1
x
cos
n
x
n \sin^{n-1} x \cos nx
n
sin
n
−
1
x
cos
n
x
c.
n
sin
n
−
1
x
cos
(
n
−
1
)
x
n \sin^{n-1} x \cos(n-1)x
n
sin
n
−
1
x
cos
(
n
−
1
)
x
d.
n
sin
n
−
1
x
sin
(
n
+
1
)
x
n \sin^{n-1} x \sin(n+1)x
n
sin
n
−
1
x
sin
(
n
+
1
)
x
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